%% dx = (0.03125,0.03125)
solution = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32477 1.36683 1.41022 1.45498 1.50117 1.54882 1.59798 1.64871 1.70104 1.75504 1.81075 1.86823 1.92754 1.98872 2.05185 2.11698 2.18419 2.25352 2.32505 2.39886 2.47501 2.55357 2.63463 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41016 1.45493 1.50111 1.54876 1.59792 1.64865 1.70098 1.75497 1.81068 1.86816 1.92746 1.98865 2.05177 2.11691 2.1841 2.25344 2.32497 2.39877 2.47492 2.55348 2.63454 2.71817 2.80445 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24434 1.28384 1.3246 1.36664 1.41002 1.45478 1.50096 1.54861 1.59777 1.64848 1.70081 1.7548 1.81051 1.86798 1.92727 1.98845 2.05157 2.1167 2.18389 2.25321 2.32474 2.39854 2.47467 2.55323 2.63428 2.7179 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20583 1.24411 1.2836 1.32435 1.36638 1.40976 1.45451 1.50068 1.54831 1.59746 1.64817 1.70049 1.75447 1.81016 1.86762 1.92691 1.98807 2.05118 2.1163 2.18347 2.25279 2.3243 2.39808 2.47421 2.55275 2.63378 2.71739 2.80365 2.89265 2.98447 3.07922 
1.16838 1.20546 1.24373 1.2832 1.32394 1.36596 1.40932 1.45406 1.50021 1.54783 1.59697 1.64766 1.69996 1.75392 1.8096 1.86704 1.92631 1.98746 2.05054 2.11564 2.18279 2.25209 2.32357 2.39733 2.47344 2.55195 2.63296 2.71654 2.80278 2.89175 2.98355 3.07826 3.17598 
1.20491 1.24315 1.28261 1.32333 1.36533 1.40867 1.45338 1.49952 1.54712 1.59623 1.6469 1.69917 1.75311 1.80876 1.86618 1.92542 1.98654 2.0496 2.11466 2.18178 2.25104 2.3225 2.39622 2.47229 2.55077 2.63174 2.71528 2.80148 2.89041 2.98217 3.07683 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36445 1.40776 1.45245 1.49855 1.54612 1.5952 1.64584 1.69808 1.75198 1.8076 1.86497 1.92418 1.98526 2.04827 2.11329 2.18038 2.24959 2.321 2.39468 2.4707 2.54913 2.63005 2.71353 2.79967 2.88855 2.98024 3.07485 3.17246 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40656 1.45121 1.49727 1.5448 1.59384 1.64443 1.69663 1.75048 1.80605 1.86338 1.92253 1.98356 2.04652 2.11148 2.17851 2.24766 2.31901 2.39263 2.46858 2.54694 2.62779 2.71121 2.79728 2.88607 2.97769 3.07221 3.16974 3.27036 3.37418 3.48129 
1.3199 1.3618 1.40502 1.44962 1.49563 1.54311 1.59209 1.64263 1.69477 1.74856 1.80407 1.86133 1.92042 1.98138 2.04428 2.10917 2.17612 2.2452 2.31647 2.39 2.46587 2.54415 2.62491 2.70823 2.7942 2.8829 2.97442 3.06884 3.16626 3.26677 3.37048 3.47747 3.58786 
1.35994 1.4031 1.44764 1.49359 1.541 1.58991 1.64038 1.69245 1.74617 1.8016 1.85879 1.91779 1.97867 2.04148 2.10628 2.17314 2.24213 2.3133 2.38673 2.4625 2.54067 2.62132 2.70453 2.79038 2.87896 2.97035 3.06464 3.16193 3.2623 3.36586 3.47271 3.58295 3.69669 
1.40077 1.44523 1.4911 1.53843 1.58726 1.63765 1.68963 1.74326 1.7986 1.85569 1.9146 1.97537 2.03808 2.10277 2.16952 2.23839 2.30944 2.38275 2.45839 2.53643 2.61695 2.70002 2.78573 2.87416 2.9654 3.05953 3.15665 3.25686 3.36025 3.46692 3.57697 3.69052 3.80768 
1.44235 1.48813 1.53536 1.5841 1.63438 1.68626 1.73979 1.79501 1.85199 1.91078 1.97143 2.03401 2.09858 2.16519 2.23392 2.30483 2.378 2.45348 2.53137 2.61172 2.69463 2.78017 2.86842 2.95948 3.05342 3.15035 3.25036 3.35354 3.45999 3.56983 3.68315 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63054 1.6823 1.7357 1.79079 1.84763 1.90628 1.96679 2.02923 2.09364 2.1601 2.22867 2.29941 2.3724 2.44771 2.52541 2.60558 2.68829 2.77362 2.86167 2.95251 3.04624 3.14294 3.24271 3.34565 3.45185 3.56143 3.67449 3.79113 3.91148 4.03565 
1.52757 1.57605 1.62608 1.67769 1.73095 1.78589 1.84258 1.90107 1.96141 2.02367 2.08791 2.15419 2.22257 2.29312 2.36591 2.44101 2.5185 2.59844 2.68093 2.76603 2.85384 2.94443 3.0379 3.13433 3.23383 3.33648 3.4424 3.55168 3.66442 3.78075 3.90077 4.0246 4.15236 
1.57109 1.62096 1.67241 1.7255 1.78027 1.83678 1.89508 1.95524 2.0173 2.08133 2.1474 2.21557 2.2859 2.35846 2.43332 2.51057 2.59026 2.67248 2.75732 2.84485 2.93515 3.02833 3.12446 3.22364 3.32597 3.43155 3.54049 3.65288 3.76884 3.88848 4.01191 4.13927 4.27067 
1.61515 1.66641 1.71931 1.77388 1.83019 1.88828 1.94822 2.01006 2.07387 2.1397 2.20762 2.27769 2.34999 2.42459 2.50156 2.58096 2.66289 2.74742 2.83464 2.92462 3.01746 3.11324 3.21207 3.31403 3.41923 3.52778 3.63976 3.7553 3.87451 3.99751 4.12441 4.25534 4.39042 
1.65966 1.71234 1.76669 1.82277 1.88063 1.94032 2.00191 2.06546 2.13102 2.19867 2.26846 2.34047 2.41476 2.49141 2.5705 2.65209 2.73628 2.82314 2.91276 3.00522 3.10062 3.19904 3.30059 3.40537 3.51347 3.625 3.74007 3.8588 3.98129 4.10768 4.23807 4.37261 4.51142 
1.70455 1.75866 1.81448 1.87207 1.9315 1.99281 2.05607 2.12133 2.18867 2.25814 2.32982 2.40378 2.48008 2.55881 2.64003 2.72384 2.8103 2.89951 2.99155 3.08651 3.18449 3.28558 3.38988 3.49749 3.60851 3.72306 3.84124 3.96318 4.08899 4.21879 4.35272 4.49089 4.63345 
1.74975 1.80529 1.86259 1.92172 1.98271 2.04565 2.11058 2.17758 2.2467 2.31802 2.3916 2.46752 2.54584 2.62666 2.71004 2.79606 2.88482 2.9764 3.07088 3.16836 3.26893 3.3727 3.47976 3.59023 3.70419 3.82178 3.9431 4.06827 4.19742 4.33066 4.46813 4.60997 4.75631 
1.79517 1.85215 1.91094 1.97159 2.03418 2.09875 2.16537 2.2341 2.30502 2.37819 2.45368 2.53157 2.61193 2.69484 2.78038 2.86864 2.9597 3.05365 3.15058 3.2506 3.35378 3.46024 3.57009 3.68341 3.80034 3.92098 4.04545 4.17387 4.30636 4.44306 4.58411 4.72963 4.87977 
1.84071 1.89913 1.95942 2.02161 2.08578 2.15199 2.2203 2.29078 2.3635 2.43852 2.51593 2.59579 2.67819 2.7632 2.85092 2.94142 3.03479 3.13112 3.23052 3.33306 3.43887 3.54803 3.66066 3.77686 3.89675 4.02045 4.14808 4.27976 4.41561 4.55578 4.7004 4.84961 5.00356 
1.88628 1.94616 2.00793 2.07167 2.13743 2.20527 2.27528 2.3475 2.42202 2.4989 2.57822 2.66006 2.7445 2.83162 2.92151 3.01424 3.10993 3.20865 3.3105 3.41559 3.52401 3.63588 3.75129 3.87037 3.99324 4.12 4.25078 4.38572 4.52494 4.66858 4.81678 4.96968 5.12744 
1.93178 1.9931 2.05637 2.12164 2.18899 2.25847 2.33017 2.40413 2.48045 2.55918 2.64042 2.72423 2.81071 2.89993 2.99199 3.08696 3.18495 3.28605 3.39037 3.49799 3.60903 3.72359 3.84179 3.96374 4.08957 4.21939 4.35333 4.49152 4.6341 4.7812 4.93298 5.08957 5.25114 
1.97712 2.03987 2.10462 2.17143 2.24036 2.31147 2.38485 2.46055 2.53865 2.61924 2.70238 2.78816 2.87667 2.96798 3.0622 3.1594 3.25969 3.36317 3.46993 3.58007 3.69372 3.81097 3.93194 4.05676 4.18554 4.3184 4.45548 4.59692 4.74284 4.8934 5.04873 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.2914 2.36414 2.43918 2.51661 2.5965 2.67892 2.76395 2.85169 2.94221 3.03561 3.13197 3.23139 3.33397 3.4398 3.54899 3.66165 3.77788 3.8978 4.02153 4.14919 4.2809 4.4168 4.557 4.70166 4.85091 5.00489 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.342 2.41634 2.49305 2.57218 2.65383 2.73807 2.82499 2.91466 3.00719 3.10264 3.20113 3.30275 3.40759 3.51576 3.62736 3.7425 3.8613 3.98388 4.11034 4.24082 4.37543 4.51433 4.65763 4.80548 4.95802 5.11541 5.27779 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39202 2.46795 2.54629 2.62712 2.71051 2.79655 2.88533 2.97692 3.07141 3.16891 3.2695 3.37329 3.48037 3.59085 3.70483 3.82244 3.94377 4.06896 4.19813 4.33139 4.46888 4.61074 4.7571 4.90811 5.06391 5.22466 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51882 2.59878 2.68127 2.76638 2.8542 2.9448 3.03828 3.13472 3.23423 3.3369 3.44282 3.55211 3.66486 3.7812 3.90123 4.02507 4.15284 4.28466 4.42067 4.561 4.70578 4.85516 5.00928 5.16829 5.33235 5.50162 5.67626 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48978 2.56882 2.65036 2.73449 2.82129 2.91085 3.00325 3.09858 3.19694 3.29842 3.40313 3.51115 3.62261 3.7376 3.85625 3.97866 4.10496 4.23526 4.3697 4.50841 4.65153 4.79918 4.95153 5.10871 5.27087 5.43819 5.61082 5.78892 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96634 3.06051 3.15766 3.25789 3.36131 3.46801 3.57809 3.69167 3.80886 3.92977 4.05451 4.18322 4.31601 4.45301 4.59436 4.74021 4.89068 5.04592 5.2061 5.37136 5.54186 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21532 3.31739 3.42269 3.53134 3.64344 3.75909 3.87842 4.00153 4.12856 4.25961 4.39483 4.53433 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
exact = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32478 1.36683 1.41022 1.45498 1.50117 1.54882 1.59799 1.64871 1.70105 1.75505 1.81076 1.86824 1.92754 1.98873 2.05186 2.11699 2.18419 2.25352 2.32506 2.39886 2.47501 2.55358 2.63464 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41017 1.45493 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86817 1.92747 1.98866 2.05178 2.11691 2.18411 2.25344 2.32498 2.39878 2.47492 2.55349 2.63454 2.71817 2.80446 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24435 1.28385 1.3246 1.36665 1.41003 1.45479 1.50097 1.54862 1.59778 1.64849 1.70082 1.75481 1.81052 1.86799 1.92729 1.98846 2.05159 2.11671 2.1839 2.25323 2.32475 2.39855 2.47468 2.55324 2.63429 2.71791 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32435 1.36639 1.40977 1.45452 1.50069 1.54833 1.59748 1.64819 1.7005 1.75448 1.81018 1.86764 1.92692 1.98809 2.0512 2.11631 2.18349 2.2528 2.32431 2.3981 2.47422 2.55276 2.63379 2.7174 2.80366 2.89265 2.98448 3.07922 
1.16838 1.20546 1.24373 1.28321 1.32394 1.36597 1.40933 1.45407 1.50022 1.54785 1.59698 1.64767 1.69998 1.75394 1.80962 1.86706 1.92633 1.98748 2.05056 2.11566 2.18281 2.2521 2.32359 2.39735 2.47345 2.55197 2.63298 2.71656 2.80279 2.89176 2.98355 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32333 1.36534 1.40868 1.4534 1.49953 1.54713 1.59624 1.64691 1.69919 1.75313 1.80878 1.8662 1.92544 1.98656 2.04962 2.11468 2.18181 2.25106 2.32252 2.39625 2.47231 2.55079 2.63176 2.7153 2.8015 2.89042 2.98218 3.07684 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36446 1.40777 1.45246 1.49857 1.54614 1.59522 1.64585 1.6981 1.752 1.80762 1.865 1.9242 1.98528 2.0483 2.11332 2.1804 2.24962 2.32103 2.3947 2.47072 2.54915 2.63007 2.71355 2.79969 2.88856 2.98026 3.07486 3.17247 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40657 1.45122 1.49729 1.54481 1.59385 1.64445 1.69665 1.7505 1.80607 1.8634 1.92255 1.98358 2.04655 2.11151 2.17854 2.24769 2.31904 2.39266 2.46861 2.54697 2.62782 2.71123 2.7973 2.88609 2.97771 3.07223 3.16975 3.27037 3.37419 3.48129 
1.3199 1.3618 1.40503 1.44963 1.49564 1.54312 1.5921 1.64264 1.69479 1.74858 1.80409 1.86136 1.92044 1.98141 2.0443 2.1092 2.17615 2.24523 2.3165 2.39003 2.4659 2.54418 2.62494 2.70826 2.79423 2.88293 2.97444 3.06886 3.16628 3.26679 3.37049 3.47748 3.58786 
1.35994 1.40311 1.44765 1.4936 1.54101 1.58993 1.6404 1.69247 1.74619 1.80162 1.85881 1.91782 1.9787 2.04151 2.10631 2.17317 2.24216 2.31333 2.38676 2.46253 2.5407 2.62135 2.70456 2.79041 2.87899 2.97038 3.06467 3.16195 3.26232 3.36588 3.47272 3.58296 3.69669 
1.40077 1.44523 1.49111 1.53844 1.58728 1.63766 1.68965 1.74328 1.79862 1.85572 1.91462 1.9754 2.0381 2.1028 2.16955 2.23842 2.30947 2.38279 2.45842 2.53646 2.61698 2.70005 2.78576 2.87419 2.96542 3.05956 3.15668 3.25688 3.36027 3.46693 3.57698 3.69053 3.80768 
1.44235 1.48813 1.53537 1.58411 1.63439 1.68628 1.7398 1.79503 1.85201 1.9108 1.97146 2.03404 2.0986 2.16522 2.23395 2.30487 2.37803 2.45352 2.5314 2.61176 2.69466 2.7802 2.86845 2.95951 3.05345 3.15038 3.25038 3.35356 3.46001 3.56985 3.68317 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63055 1.68231 1.73571 1.79081 1.84766 1.90631 1.96682 2.02925 2.09367 2.16013 2.2287 2.29944 2.37244 2.44775 2.52545 2.60561 2.68832 2.77366 2.8617 2.95254 3.04627 3.14297 3.24274 3.34567 3.45187 3.56145 3.6745 3.79114 3.91149 4.03565 
1.52757 1.57606 1.62609 1.6777 1.73096 1.78591 1.8426 1.90109 1.96143 2.0237 2.08794 2.15421 2.2226 2.29315 2.36594 2.44105 2.51853 2.59848 2.68096 2.76607 2.85387 2.94446 3.03793 3.13436 3.23386 3.33651 3.44243 3.5517 3.66444 3.78076 3.90078 4.0246 4.15236 
1.57109 1.62096 1.67242 1.72551 1.78028 1.83679 1.8951 1.95526 2.01732 2.08136 2.14743 2.2156 2.28593 2.35849 2.43336 2.5106 2.59029 2.67252 2.75735 2.84488 2.93519 3.02836 3.12449 3.22367 3.326 3.43158 3.54051 3.6529 3.76886 3.88849 4.01193 4.13928 4.27067 
1.61515 1.66642 1.71931 1.77389 1.8302 1.8883 1.94824 2.01008 2.07389 2.13972 2.20764 2.27772 2.35002 2.42462 2.50159 2.581 2.66293 2.74746 2.83467 2.92465 3.01749 3.11328 3.2121 3.31407 3.41926 3.5278 3.63979 3.75533 3.87453 3.99753 4.12442 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82278 1.88064 1.94034 2.00193 2.06548 2.13104 2.19869 2.26848 2.34049 2.41479 2.49144 2.57053 2.65213 2.73631 2.82317 2.91279 3.00525 3.10065 3.19907 3.30062 3.4054 3.5135 3.62503 3.7401 3.85882 3.98131 4.10769 4.23808 4.37262 4.51142 
1.70455 1.75866 1.81449 1.87208 1.93151 1.99282 2.05608 2.12135 2.18869 2.25817 2.32985 2.4038 2.48011 2.55884 2.64006 2.72387 2.81033 2.89954 2.99158 3.08655 3.18452 3.28561 3.38991 3.49751 3.60854 3.72309 3.84127 3.9632 4.08901 4.21881 4.35273 4.4909 4.63345 
1.74975 1.80529 1.8626 1.92172 1.98273 2.04567 2.1106 2.1776 2.24672 2.31804 2.39163 2.46754 2.54587 2.62669 2.71007 2.79609 2.88485 2.97643 3.07091 3.16839 3.26896 3.37273 3.47979 3.59025 3.70422 3.82181 3.94312 4.06829 4.19743 4.33067 4.46814 4.60998 4.75631 
1.79517 1.85215 1.91094 1.9716 2.03419 2.09876 2.16538 2.23412 2.30504 2.37821 2.4537 2.53159 2.61195 2.69486 2.78041 2.86867 2.95973 3.05368 3.15061 3.25062 3.35381 3.46027 3.57011 3.68344 3.80037 3.921 4.04547 4.17389 4.30638 4.44308 4.58412 4.72963 4.87977 
1.84071 1.89914 1.95942 2.02162 2.08579 2.15201 2.22032 2.2908 2.36352 2.43854 2.51595 2.59581 2.67821 2.76323 2.85094 2.94144 3.03481 3.13115 3.23054 3.33309 3.43889 3.54806 3.66068 3.77689 3.89678 4.02048 4.1481 4.27977 4.41563 4.5558 4.70041 4.84962 5.00356 
1.88628 1.94616 2.00794 2.07167 2.13744 2.20529 2.27529 2.34751 2.42203 2.49892 2.57824 2.66008 2.74452 2.83164 2.92153 3.01427 3.10995 3.20867 3.31053 3.41561 3.52404 3.6359 3.75132 3.8704 3.99326 4.12002 4.2508 4.38573 4.52495 4.66859 4.81679 4.96969 5.12744 
1.93178 1.99311 2.05637 2.12165 2.189 2.25849 2.33018 2.40415 2.48046 2.5592 2.64044 2.72425 2.81073 2.89995 2.99201 3.08698 3.18497 3.28608 3.39039 3.49801 3.60905 3.72361 3.84181 3.96377 4.08959 4.21941 4.35334 4.49153 4.63411 4.78121 4.93299 5.08958 5.25114 
1.97712 2.03988 2.10463 2.17144 2.24036 2.31148 2.38486 2.46056 2.53867 2.61925 2.7024 2.78818 2.87669 2.968 3.06222 3.15942 3.25971 3.36319 3.46995 3.58009 3.69374 3.81099 3.93196 4.05678 4.18555 4.31842 4.4555 4.59693 4.74285 4.89341 5.04874 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.29141 2.36415 2.43919 2.51662 2.59651 2.67893 2.76397 2.85171 2.94223 3.03563 3.13199 3.23141 3.33398 3.43981 3.54901 3.66166 3.7779 3.89782 4.02155 4.14921 4.28092 4.41681 4.55701 4.70167 4.85092 5.0049 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.34201 2.41635 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30276 3.4076 3.51577 3.62737 3.74252 3.86132 3.98389 4.11035 4.24083 4.37545 4.51434 4.65764 4.80549 4.95803 5.11542 5.2778 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39203 2.46796 2.5463 2.62713 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26951 3.3733 3.48038 3.59086 3.70484 3.82245 3.94378 4.06897 4.19814 4.3314 4.46889 4.61075 4.75711 4.90812 5.06392 5.22467 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51883 2.59878 2.68128 2.76639 2.85421 2.94481 3.03829 3.13473 3.23424 3.3369 3.44283 3.55212 3.66487 3.78121 3.90124 4.02507 4.15284 4.28467 4.42068 4.56101 4.70579 4.85517 5.00929 5.1683 5.33236 5.50162 5.67627 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48979 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40313 3.51116 3.62262 3.73761 3.85626 3.97867 4.10496 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27088 5.43819 5.61082 5.78893 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.25789 3.36131 3.46801 3.5781 3.69168 3.80886 3.92977 4.05452 4.18322 4.31601 4.45301 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54187 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53434 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
err = [
0 0 -1.55431e-15 1.13265e-12 -4.9627e-13 -1.09601e-12 5.57332e-14 1.3809e-12 8.76832e-12 3.53273e-12 -1.05849e-12 1.22213e-12 1.15685e-13 -6.35225e-12 9.85878e-14 1.59561e-12 -4.01079e-12 1.15441e-12 8.30713e-12 -5.95746e-13 2.0195e-12 -1.04583e-13 -7.76712e-13 -1.50902e-12 -2.43805e-13 -3.12106e-12 8.51319e-13 -2.07612e-12 6.57785e-12 -2.44249e-14 -1.70797e-12 -2.08233e-12 0 
2.22045e-16 -5.80307e-07 -1.0653e-06 -1.48782e-06 -1.86388e-06 -2.20262e-06 -2.50988e-06 -2.78969e-06 -3.04491e-06 -3.27766e-06 -3.4894e-06 -3.68116e-06 -3.85351e-06 -4.0067e-06 -4.14058e-06 -4.2547e-06 -4.34825e-06 -4.42008e-06 -4.46865e-06 -4.49205e-06 -4.48787e-06 -4.45324e-06 -4.38466e-06 -4.27797e-06 -4.12812e-06 -3.92899e-06 -3.67304e-06 -3.35071e-06 -2.94951e-06 -2.45208e-06 -1.8322e-06 -1.04501e-06 0 
-1.24345e-14 -1.07394e-06 -2.00532e-06 -2.82839e-06 -3.56522e-06 -4.2305e-06 -4.83446e-06 -5.38444e-06 -5.88584e-06 -6.34265e-06 -6.75771e-06 -7.13297e-06 -7.46956e-06 -7.7679e-06 -8.02773e-06 -8.2481e-06 -8.42741e-06 -8.56337e-06 -8.65293e-06 -8.69227e-06 -8.67667e-06 -8.60042e-06 -8.45666e-06 -8.23718e-06 -7.93211e-06 -7.52955e-06 -7.01495e-06 -6.37019e-06 -5.57213e-06 -4.59006e-06 -3.38127e-06 -1.88315e-06 0 
2.23821e-13 -1.51016e-06 -2.84731e-06 -4.04231e-06 -5.11847e-06 -6.09311e-06 -6.97921e-06 -7.78653e-06 -8.52248e-06 -9.1926e-06 -9.80089e-06 -1.03501e-05 -1.08418e-05 -1.12767e-05 -1.16541e-05 -1.19728e-05 -1.22304e-05 -1.24233e-05 -1.25472e-05 -1.25965e-05 -1.2564e-05 -1.24415e-05 -1.22189e-05 -1.18843e-05 -1.14233e-05 -1.08188e-05 -1.00502e-05 -9.09232e-06 -7.9138e-06 -6.47502e-06 -4.72473e-06 -2.59563e-06 0 
-1.32427e-12 -1.90157e-06 -3.60671e-06 -5.14321e-06 -6.534e-06 -7.79744e-06 -8.94806e-06 -9.99726e-06 -1.09539e-05 -1.18247e-05 -1.26146e-05 -1.3327e-05 -1.39639e-05 -1.45258e-05 -1.50123e-05 -1.54213e-05 -1.57498e-05 -1.59932e-05 -1.61458e-05 -1.62e-05 -1.61469e-05 -1.59757e-05 -1.56734e-05 -1.52245e-05 -1.46109e-05 -1.3811e-05 -1.2799e-05 -1.15442e-05 -1.00093e-05 -8.14896e-06 -5.90787e-06 -3.21842e-06 0 
4.24105e-13 -2.25409e-06 -4.29196e-06 -6.13931e-06 -7.81841e-06 -9.34793e-06 -1.07432e-05 -1.20167e-05 -1.31782e-05 -1.42355e-05 -1.5194e-05 -1.60578e-05 -1.68289e-05 -1.75081e-05 -1.80946e-05 -1.85859e-05 -1.89782e-05 -1.9266e-05 -1.94422e-05 -1.94978e-05 -1.94219e-05 -1.92014e-05 -1.88207e-05 -1.82615e-05 -1.75021e-05 -1.65171e-05 -1.52767e-05 -1.37458e-05 -1.1883e-05 -9.63917e-06 -6.95693e-06 -3.76925e-06 0 
-4.16933e-12 -2.57054e-06 -4.90742e-06 -7.03511e-06 -8.97531e-06 -1.07467e-05 -1.23652e-05 -1.38438e-05 -1.51929e-05 -1.6421e-05 -1.7534e-05 -1.85363e-05 -1.94301e-05 -2.02161e-05 -2.08933e-05 -2.14588e-05 -2.1908e-05 -2.22345e-05 -2.24301e-05 -2.24844e-05 -2.23847e-05 -2.21159e-05 -2.16603e-05 -2.09969e-05 -2.01011e-05 -1.89445e-05 -1.74939e-05 -1.57109e-05 -1.35509e-05 -1.09626e-05 -7.88697e-06 -4.25741e-06 0 
-2.51799e-13 -2.85212e-06 -5.45503e-06 -7.83255e-06 -1.00061e-05 -1.19943e-05 -1.38132e-05 -1.54763e-05 -1.69946e-05 -1.83767e-05 -1.96291e-05 -2.07561e-05 -2.17604e-05 -2.26423e-05 -2.34006e-05 -2.4032e-05 -2.45313e-05 -2.48913e-05 -2.51026e-05 -2.51536e-05 -2.50302e-05 -2.47157e-05 -2.41902e-05 -2.34305e-05 -2.24099e-05 -2.10973e-05 -1.9457e-05 -1.74478e-05 -1.5023e-05 -1.21292e-05 -8.70637e-06 -4.68771e-06 0 
1.13243e-14 -3.09913e-06 -5.93526e-06 -8.53195e-06 -1.09104e-05 -1.30895e-05 -1.50853e-05 -1.69114e-05 -1.85793e-05 -2.00978e-05 -2.14735e-05 -2.2711e-05 -2.38128e-05 -2.47793e-05 -2.56088e-05 -2.62978e-05 -2.68405e-05 -2.72288e-05 -2.74526e-05 -2.74992e-05 -2.73532e-05 -2.69963e-05 -2.64072e-05 -2.55608e-05 -2.44285e-05 -2.29772e-05 -2.1169e-05 -1.8961e-05 -1.63042e-05 -1.3144e-05 -9.41927e-06 -5.06244e-06 0 
2.32481e-13 -3.31136e-06 -6.34767e-06 -9.13254e-06 -1.16872e-05 -1.40305e-05 -1.61787e-05 -1.81457e-05 -1.99428e-05 -2.15792e-05 -2.30616e-05 -2.43945e-05 -2.55806e-05 -2.66199e-05 -2.75106e-05 -2.82487e-05 -2.8828e-05 -2.92399e-05 -2.94733e-05 -2.95147e-05 -2.93477e-05 -2.89528e-05 -2.83073e-05 -2.73848e-05 -2.61552e-05 -2.45835e-05 -2.26306e-05 -2.02516e-05 -1.73965e-05 -1.40091e-05 -1.00272e-05 -5.38232e-06 0 
-1.62337e-12 -3.48825e-06 -6.6913e-06 -9.63292e-06 -1.23345e-05 -1.48149e-05 -1.70906e-05 -1.91754e-05 -2.10808e-05 -2.2816e-05 -2.43879e-05 -2.58008e-05 -2.70573e-05 -2.81574e-05 -2.9099e-05 -2.98778e-05 -3.0487e-05 -3.09177e-05 -3.11581e-05 -3.1194e-05 -3.10081e-05 -3.058e-05 -2.98861e-05 -2.88989e-05 -2.75868e-05 -2.59142e-05 -2.38401e-05 -2.1319e-05 -1.82994e-05 -1.47241e-05 -1.05299e-05 -5.64709e-06 0 
1.34537e-12 -3.62913e-06 -6.96492e-06 -1.00314e-05 -1.28502e-05 -1.54401e-05 -1.78177e-05 -1.99969e-05 -2.19893e-05 -2.38038e-05 -2.54475e-05 -2.69246e-05 -2.82375e-05 -2.93861e-05 -3.03681e-05 -3.11788e-05 -3.18113e-05 -3.22561e-05 -3.2501e-05 -3.25312e-05 -3.23289e-05 -3.1873e-05 -3.11391e-05 -3.00988e-05 -2.87201e-05 -2.6966e-05 -2.47952e-05 -2.2161e-05 -1.90111e-05 -1.52875e-05 -1.0926e-05 -5.8559e-06 0 
3.62776e-12 -3.73327e-06 -7.16725e-06 -1.03263e-05 -1.32321e-05 -1.59036e-05 -1.83573e-05 -2.06072e-05 -2.26647e-05 -2.45388e-05 -2.62362e-05 -2.77614e-05 -2.91164e-05 -3.0301e-05 -3.13128e-05 -3.21468e-05 -3.27959e-05 -3.32501e-05 -3.34972e-05 -3.35217e-05 -3.33056e-05 -3.28273e-05 -3.2062e-05 -3.09809e-05 -2.95513e-05 -2.77359e-05 -2.54928e-05 -2.27748e-05 -1.95291e-05 -1.56971e-05 -1.12138e-05 -6.00757e-06 0 
-1.57385e-12 -3.79998e-06 -7.29713e-06 -1.0516e-05 -1.34784e-05 -1.62033e-05 -1.87072e-05 -2.10037e-05 -2.31044e-05 -2.5018e-05 -2.67512e-05 -2.83082e-05 -2.96909e-05 -3.0899e-05 -3.19298e-05 -3.27784e-05 -3.34372e-05 -3.38962e-05 -3.4143e-05 -3.4162e-05 -3.39347e-05 -3.34397e-05 -3.26517e-05 -3.15419e-05 -3.00773e-05 -2.82207e-05 -2.59298e-05 -2.31574e-05 -1.98505e-05 -1.59501e-05 -1.1391e-05 -6.10082e-06 0 
1.05027e-13 -3.82872e-06 -7.35363e-06 -1.05995e-05 -1.35879e-05 -1.6338e-05 -1.88658e-05 -2.11851e-05 -2.33069e-05 -2.52401e-05 -2.69909e-05 -2.85634e-05 -2.99594e-05 -3.11783e-05 -3.22175e-05 -3.30718e-05 -3.37335e-05 -3.41928e-05 -3.44368e-05 -3.44502e-05 -3.42146e-05 -3.37083e-05 -3.29062e-05 -3.17798e-05 -3.02962e-05 -2.84182e-05 -2.6104e-05 -2.33065e-05 -1.99729e-05 -1.60445e-05 -1.14558e-05 -6.13439e-06 0 
5.17142e-13 -3.81912e-06 -7.33624e-06 -1.0576e-05 -1.35601e-05 -1.63071e-05 -1.8833e-05 -2.11512e-05 -2.32724e-05 -2.52052e-05 -2.69556e-05 -2.85274e-05 -2.99223e-05 -3.11397e-05 -3.21765e-05 -3.30277e-05 -3.36857e-05 -3.41404e-05 -3.43794e-05 -3.43871e-05 -3.41456e-05 -3.36333e-05 -3.28258e-05 -3.16945e-05 -3.02073e-05 -2.83277e-05 -2.60142e-05 -2.32206e-05 -1.98947e-05 -1.59783e-05 -1.14066e-05 -6.10726e-06 0 
-1.49305e-11 -3.77111e-06 -7.24494e-06 -1.0446e-05 -1.33954e-05 -1.61116e-05 -1.861e-05 -2.09036e-05 -2.30028e-05 -2.49156e-05 -2.66478e-05 -2.82031e-05 -2.95828e-05 -3.07862e-05 -3.18102e-05 -3.26497e-05 -3.32971e-05 -3.37427e-05 -3.39739e-05 -3.39759e-05 -3.37308e-05 -3.32178e-05 -3.24127e-05 -3.12881e-05 -2.98125e-05 -2.79502e-05 -2.56611e-05 -2.28998e-05 -1.96154e-05 -1.57509e-05 -1.12425e-05 -6.01873e-06 0 
-2.49134e-13 -3.68489e-06 -7.08036e-06 -1.02104e-05 -1.30956e-05 -1.57537e-05 -1.81997e-05 -2.04458e-05 -2.25019e-05 -2.43758e-05 -2.60727e-05 -2.75959e-05 -2.89466e-05 -3.01239e-05 -3.11248e-05 -3.19441e-05 -3.25744e-05 -3.30061e-05 -3.32271e-05 -3.3223e-05 -3.29765e-05 -3.24675e-05 -3.16727e-05 -3.05656e-05 -2.9116e-05 -2.72895e-05 -2.50474e-05 -2.2346e-05 -1.91362e-05 -1.53627e-05 -1.09634e-05 -5.86857e-06 0 
9.54548e-12 -3.5611e-06 -6.84388e-06 -9.87147e-06 -1.26637e-05 -1.52375e-05 -1.76069e-05 -1.97835e-05 -2.17765e-05 -2.3593e-05 -2.52379e-05 -2.67142e-05 -2.80227e-05 -2.91624e-05 -3.01302e-05 -3.0921e-05 -3.15277e-05 -3.1941e-05 -3.21493e-05 -3.21387e-05 -3.18926e-05 -3.1392e-05 -3.06147e-05 -2.95354e-05 -2.81254e-05 -2.63522e-05 -2.41788e-05 -2.15639e-05 -1.84605e-05 -1.48159e-05 -1.05705e-05 -5.65718e-06 0 
-7.04992e-13 -3.40082e-06 -6.53775e-06 -9.43278e-06 -1.21046e-05 -1.45689e-05 -1.68388e-05 -1.8925e-05 -2.08358e-05 -2.25776e-05 -2.41548e-05 -2.557e-05 -2.68236e-05 -2.79146e-05 -2.88399e-05 -2.95944e-05 -3.01714e-05 -3.05619e-05 -3.07549e-05 -3.07372e-05 -3.04933e-05 -3.00051e-05 -2.92518e-05 -2.82098e-05 -2.68521e-05 -2.51484e-05 -2.30642e-05 -2.05606e-05 -1.7594e-05 -1.41146e-05 -1.00664e-05 -5.38567e-06 0 
1.54499e-12 -3.20563e-06 -6.16523e-06 -8.89922e-06 -1.14248e-05 -1.37562e-05 -1.59052e-05 -1.78814e-05 -1.96922e-05 -2.13431e-05 -2.2838e-05 -2.41788e-05 -2.53658e-05 -2.63978e-05 -2.72717e-05 -2.79826e-05 -2.8524e-05 -2.88875e-05 -2.90628e-05 -2.90375e-05 -2.87971e-05 -2.83249e-05 -2.76017e-05 -2.66056e-05 -2.53118e-05 -2.36925e-05 -2.17162e-05 -1.93472e-05 -1.65455e-05 -1.32654e-05 -9.45531e-06 -5.05605e-06 0 
2.085e-13 -2.9777e-06 -5.7307e-06 -8.27737e-06 -1.06329e-05 -1.28099e-05 -1.48185e-05 -1.66669e-05 -1.83615e-05 -1.99067e-05 -2.13058e-05 -2.25603e-05 -2.367e-05 -2.46336e-05 -2.5448e-05 -2.61086e-05 -2.66091e-05 -2.69419e-05 -2.70972e-05 -2.70637e-05 -2.68281e-05 -2.6375e-05 -2.56871e-05 -2.47446e-05 -2.35251e-05 -2.20036e-05 -2.01519e-05 -1.79383e-05 -1.53271e-05 -1.22776e-05 -8.74341e-06 -4.67139e-06 0 
-3.57026e-12 -2.71988e-06 -5.23982e-06 -7.5756e-06 -9.74005e-06 -1.17435e-05 -1.35944e-05 -1.52993e-05 -1.68631e-05 -1.82897e-05 -1.95811e-05 -2.07384e-05 -2.17613e-05 -2.26481e-05 -2.33959e-05 -2.40002e-05 -2.44552e-05 -2.47539e-05 -2.48873e-05 -2.48451e-05 -2.46154e-05 -2.41844e-05 -2.35365e-05 -2.26542e-05 -2.1518e-05 -2.01058e-05 -1.83934e-05 -1.63534e-05 -1.3955e-05 -1.11636e-05 -7.93922e-06 -4.23596e-06 0 
-4.0834e-13 -2.43573e-06 -4.69966e-06 -6.80433e-06 -8.75963e-06 -1.05734e-05 -1.22518e-05 -1.37996e-05 -1.52206e-05 -1.65171e-05 -1.76907e-05 -1.87418e-05 -1.96697e-05 -2.04726e-05 -2.11476e-05 -2.16906e-05 -2.20962e-05 -2.2358e-05 -2.2468e-05 -2.2417e-05 -2.21943e-05 -2.17879e-05 -2.11841e-05 -2.03679e-05 -1.93225e-05 -1.80294e-05 -1.64684e-05 -1.46169e-05 -1.245e-05 -9.93972e-06 -7.05397e-06 -3.75547e-06 0 
4.25171e-12 -2.1297e-06 -4.11893e-06 -5.97625e-06 -7.70804e-06 -9.31913e-06 -1.08133e-05 -1.21933e-05 -1.34614e-05 -1.46188e-05 -1.56663e-05 -1.66037e-05 -1.74299e-05 -1.81431e-05 -1.87405e-05 -1.92183e-05 -1.95716e-05 -1.97947e-05 -1.98804e-05 -1.98206e-05 -1.96063e-05 -1.92268e-05 -1.86708e-05 -1.79255e-05 -1.69772e-05 -1.58109e-05 -1.44107e-05 -1.27593e-05 -1.08381e-05 -8.62671e-06 -6.10207e-06 -3.23736e-06 0 
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